424147968
424,147,968 is an even composite number composed of four prime numbers multiplied together.
424147968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 424147968:
210 × 33 × 232 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 23 × 23 × 29)See below for interesting mathematical facts about the number 424147968 from the Numbermatics database.
Names of 424147968
- Cardinal: 424147968 can be written as Four hundred twenty-four million, one hundred forty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.24147968 × 108
Factors of 424147968
Divisors of 424147968
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 29 32 36 46 48 54 58 64 69 72 87 92 96 108 116 128 138 144 174 184 192 207 216 232 256 261 276 288 348 368 384 414 432 464 512 522 529 552 576 621 667 696 736 768 783 828 864 928 1024 1044 1058 1104 1152 1242 1334 1392 1472 1536 1566 1587 1656 1728 1856 2001 2088 2116 2208 2304 2484 2668 2784 2944 3072 3132 3174 3312 3456 3712 4002 4176 4232 4416 4608 4761 4968 5336 5568 5888 6003 6264 6348 6624 6912 7424 8004 8352 8464 8832 9216 9522 9936 10672 11136 11776 12006 12528 12696 13248 13824 14283 14848 15341 16008 16704 16928 17664 18009 19044 19872 21344 22272 23552 24012 25056 25392 26496 27648 28566 29696 30682 32016 33408 33856 35328 36018 38088 39744 42688 44544 46023 48024 50112 50784 52992 57132 61364 64032 66816 67712 70656 72036 76176 79488 85376 89088 92046 96048 100224 101568 105984 114264 122728 128064 133632 135424 138069 144072 152352 158976 170752 184092 192096 200448 203136 211968 228528 245456 256128 267264 270848 276138 288144 304704 317952 341504 368184 384192 400896 406272 414207 457056 490912 512256 541696 552276 576288 609408 635904 683008 736368 768384 801792 812544 828414 914112 981824 1024512 1104552 1152576 1218816 1472736 1536768 1625088 1656828 1828224 1963648 2049024 2209104 2305152 2437632 2945472 3073536 3313656 3656448 3927296 4418208 4610304 4875264 5890944 6147072 6627312 7312896 7854592 8836416 9220608 11781888 13254624 14625792 15709184 17672832 18441216 23563776 26509248 35345664 47127552 53018496 70691328 106036992 141382656 212073984 424147968
- Sum of all divisors σ(n): 1358389200
- Sum of proper divisors (its aliquot sum) s(n): 934241232
- 424147968 is an abundant number, because the sum of its proper divisors (934241232) is greater than itself. Its abundance is 510093264
Bases of 424147968
- Binary: 110010100011111111100000000002
- Hexadecimal: 0x1947FC00
- Base-36: 70IYO0
Squares and roots of 424147968
- 424147968 squared (4241479682) is 179901498758529024
- 424147968 cubed (4241479683) is 76304855138584608198623232
-
The
square root of 424147968 is 20594.8529492201 -
The
cube root of 424147968 is 751.3445322039
Scales and comparisons
How big is 424147968?- 424,147,968 seconds is equal to 13 years, 25 weeks, 2 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 424,147,968 would take you about twenty years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 424147968 cubic inches would be around 62.6 feet tall.
Recreational maths with 424147968
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